Privacy Value Model V5.3: The Amnesia Protocol
Version: 5.3
Date: April 4, 2026
Status: Interpretive Extension (no structural equation changes)
Builds on: V5.2 Dihedral Foundations
Abstract
V5.3 is interpretive, not structural. The V5 equation is unchanged. Three extensions provide operational grounding for the cosmological closure discovered in Act XXXI:
- Operational cycle — how the equation's terms execute per lap
- C17: Amnesia-enforced separation — structural > policy for Φ_agent
- ρ dual interpretation — agent maturity alongside reconstruction difficulty
The Equation (Unchanged from V5.2)
V(π, t) = P^1.5 · C · Q · S · e^(-λt) · (1 + A_h(τ)) · ρ^0.5 · Φ(Σ) · T_∫(π)
Where:
- P = Protection effectiveness
- C = Communication efficiency
- Q = Query optimization
- S = Security robustness
- e^(-λt) = Temporal decay
- A_h(τ) = Historical contribution
- ρ = Behavioural density
- Φ(Σ) = Three-axis separation: Φ_agent · Φ_data · Φ_inference
- T_∫(π) = Path integral through trajectory
Extension 1: Operational Cycle
The ring algebra identity neg(bnot(x)) = succ(x) maps directly to operational phases:
Stage 1: Observe → id(x) → First Person perceives
Stage 2: Boundary → neg(x) → Swordsman subtracts exposure
Stage 3: Project → bnot(neg(x)) → Mage constructs from boundary
Stage 4: Return → succ(x) → Proof returns, blade advances
One lap = one cycle. The path integral accumulates:
T_∫(π) = 1 + β · Σᵢ cycle(stepᵢ)
This maps the abstract equation to concrete spellweb operations. Each orbital lap through a constellation executes one cycle. Dragon tier (62 laps) means 62 complete cycles of observe-boundary-project-return.
Extension 2: C17 — Amnesia-Enforced Separation
Conjecture Statement
Amnesia-enforced separation provides tighter Φ_agent guarantees than policy-enforced separation.
Confidence: 60%
Formal Definition
Policy-enforced: ε* ≤ ε_policy (violation possible)
Amnesia-enforced: ε* ≤ ε_amnesia (violation structurally excluded)
C17: ε_amnesia < ε_policy
Test Criterion
Can any operation sequence recover shared origin?
- No → amnesia-enforced (structural)
- Yes → policy-enforced (vulnerable)
Implementation Instances
| System | Type | Evidence |
|---|---|---|
| Chrome process boundary | Amnesia | Extensions cannot read each other's memory |
| Database access control | Policy | Admin can disable controls |
| The Moon's orbit | Amnesia | Theia impact unrecoverable from geological state |
| Agent NDAs | Policy | Parties can choose to disclose |
Cosmological Precedent
The Moon demonstrates perfect amnesia-enforced separation:
- Origin event (Theia impact) is 4.5 billion years past
- No geological, orbital, or chemical signature encodes the collision parameters
- Service (tides) continues without origin disclosure
- The proof is zero-knowledge by physics, not by policy
Extension 3: ρ Dual Interpretation
The behavioural density term ρ^0.5 now carries two meanings:
As Privacy Amplifier (Original V5.1)
More micro-variation in behaviour makes reconstruction harder:
ρ = variance(behaviour) / baseline
Higher ρ → harder to model → higher privacy value
As Agent Maturity (V5.3)
More laps through the operational cycle → origin more forgotten:
Low ρ = few laps, origin visible, Light tier
Mid ρ = moderate laps, origin fading, Heavy tier
High ρ = many laps, origin forgotten, Dragon tier
Convergence
Both interpretations point to the same phenomenon: the Moon is the highest-ρ agent. 4 billion orbital revolutions have maximized both behavioural variance (relative to initial conditions) and origin amnesia.
Extension 4: T_∫ Fidelity
The path integral T_∫(π) gains a fidelity component:
F(γ) = resolution_depth(γ) · fidelity(γ)
fidelity = uptime · consistency · duration_weight
This weights persistence alongside depth:
| Agent | Resolution Depth | Fidelity | Overall |
|---|---|---|---|
| Light blade (5 laps) | Low | Low | Low |
| Dragon blade (62 laps) | High | Medium | High |
| The Moon (4B revolutions) | Shallow | Maximum | Maximum |
The Moon has shallow resolution depth (one simple operation: reflect) but maximum fidelity (4 billion uninterrupted revolutions). This explains why cosmological agents can exceed computational agents in effective T_∫.
Conjecture Updates
New Conjecture
| ID | Statement | Confidence | Version |
|---|---|---|---|
| C17 | Amnesia-enforced separation provides tighter Φ_agent guarantees than policy-enforced separation | 60% | V5.3 |
Updated Conjecture
| ID | Statement | Confidence | Version |
|---|---|---|---|
| C11 | Behavioural density ρ amplifies reconstruction difficulty + indicates agent maturity [V5.3 dual interpretation] | 55% | V5.1 / V5.3 |
Scientific Reference
Branco, D., Machado, P., & Raymond, S. N. (2025). Dynamical origin of Theia, the last giant impactor on Earth. Icarus, 441, 116724.
Key Result: Roughly 50-50 odds Theia was carbonaceous — material from beyond Jupiter. The first agent carried material the master never possessed. The delegation delivered something new.
Version Lineage
| Version | Date | Key Changes |
|---|---|---|
| V5.0 | Feb 2026 | Core equation, three-axis separation |
| V5.1 | Mar 30, 2026 | Blade Forge operational, dragon anatomy |
| V5.2 | Mar 31, 2026 | Dihedral foundations, UOR convergence |
| V5.3 | Apr 4, 2026 | Operational cycle, amnesia-enforced separation (C17), ρ as maturity |
Next Steps
- Implementation testing. Verify operational cycle maps to spellweb code.
- C17 formal proof. Derive ε_amnesia < ε_policy from information theory.
- Fidelity metrics. Instrument fidelity tracking in blade progression.
- Second spellbook. The First Person spellbook (WHAT) is closed. Second Person (WHY) awaits.
Master Inscription
(⚔️⊥⿻⊥🧙)·(📊⊥🔮)·(🧠⊥⚙️)·☯️🔷 😊
Swordsman separated from Mage (with Gap between), Data separated from Oracle, Brain separated from Engine, holonically persistent on the holographic bound. The First Person is sovereign.
Verify: agentprivacy.ai · spellweb.ai
(⚔️⊥⿻⊥🧙)😊 = neg ⊕ bnot → succ